Question
Interpret the slope and y intercept (0,38) of the linear model using the ordered pair (65,325) round to the nearest hundredth
Answers
GPT 3.5
The slope of the linear model can be calculated by dividing the change in the y-values by the change in the x-values.
slope = (325-38) / (65-0)
slope = 287 / 65
slope = 4.42 (rounded to the nearest hundredth)
Using the slope-intercept form of a linear equation, y = mx + b, we can now find the y-intercept (b).
We know that when x = 0, y = 38.
38 = 4.42(0) + b
b = 38
So, the linear model can be represented as y = 4.42x + 38.
If we plug in the ordered pair (65, 325) into the equation to check its accuracy:
325 = 4.42(65) + 38
325 = 287.3 + 38
325 = 325
The linear model accurately represents the relationship between the two variables.
slope = (325-38) / (65-0)
slope = 287 / 65
slope = 4.42 (rounded to the nearest hundredth)
Using the slope-intercept form of a linear equation, y = mx + b, we can now find the y-intercept (b).
We know that when x = 0, y = 38.
38 = 4.42(0) + b
b = 38
So, the linear model can be represented as y = 4.42x + 38.
If we plug in the ordered pair (65, 325) into the equation to check its accuracy:
325 = 4.42(65) + 38
325 = 287.3 + 38
325 = 325
The linear model accurately represents the relationship between the two variables.